Frustrated mixed-spin ladders: Evidence for a bond-order wave phase between rung-singlet and Haldane phases

Abstract

In frustrated spin ladders, the interplay of frustration and correlations leads to the familiar Haldane (H) and rung-singlet (RS) phases. The nature of the transition between these two phases is still under debate. In this paper we tackle this issue using tools of quantum information theory. We consider frustrated mixed-spin-(1, 1/2) ladders with antiferromagnetic leg, rung and diagonal couplings, and calculate various quantities, such as the entanglement entropy (EE), the Schmidt gap, and the level degeneracy of the entanglement spectrum (ES). We use two numerical techniques, the infinite time-evolving block decimation (iTEBD) and the density matrix renormalization group (DMRG). We demonstrate that there exists an intermediate phase in which the ES levels do not exhibit the characteristic degeneracies of the H and RS phases. To understand the underlying physics in this phase, we investigate short-range spin correlations along legs, rungs and diagonals and show that in this intermediate phase long-wavelength modulations occur, akin to bond-order waves.

Additional Information

© 2022 American Physical Society. RH acknowledges support for this work from the US Department of Energy, Office of Science, via Award No. DESC0019374. We have used Uni10 [85] and ITensor [86] as middleware libraries to build up the ansatz.

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Published - PhysRevB.106.174419.pdf

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